Gauss map singularities of inversion hypersurface in R^{n+1}
Abstract
This paper mainly studies the singularities of Gauss map of inversion hypersurface in $R^{n+1}$. The geometry of inversion hypersurface in $R^{n+1}$ and its Gauss map are given. Using the lagrangian and Legendrian singularity theory, the singularities of Gauss map of inversion hypersurface are classified and plotted.
Copyright © 2016 S. A. Hassan, E. Dahi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
S. A. Hassan, E. Dahi, Gauss map singularities of inversion hypersurface in R^{n+1}, J. Math. Comput. Sci. 6 (2016), 793–813.
BibTeX
@article{Hassan2016,
author = {Hassan, S. A. and Dahi, E.},
title = {Gauss map singularities of inversion hypersurface in R^{n+1}},
journal = {J. Math. Comput. Sci.},
volume = {6},
year = {2016},
pages = {793--813},
doi = {}
}